Slow Down......... Of course she is a smart little girl... She is learning from her sister as well. Some parents are so anxious to label their child GT they they forget to let the child be a child.
Honestly, children usually even out by 2nd grade and the GT program is not a large program.
I teach and I hate seeing the labels/pressure that parents have put on their GT children. With some parents, it is like a trophy... "see my child is smarter than yours". In first grade, some children go to the PACE (GT) class and they have such a holier than thou attitude because they go to PACE. They don't just develop this attitude.... they hear it from parents. These are the children we have the most issues with socially due to their attitudes toward anyone who is not in the GT program. Most are not socially mature at all.
Now before anyone gets on here attacking me with hate mail... I am NOT saying all GT children are like this. There are a few truly highly GT children and NOT ALL have the attitude.
If the school tests her, that is great. If she truly needs a GT program, the school will take care of that and make sure she gets her needs met.
In the meantime, let her be a child, play, interact with others, play normal games that 2 yr olds play. She is not going to get dumb because you don't put her in an advanced program. Everyday activity educates her... let her little brain soak it all up with no pressure.
Good luck.